1066907199744 has 243 divisors, whose sum is σ = 3198320837257. Its totient is φ = 355189515264.

The previous prime is 1066907199707. The next prime is 1066907199767. The reversal of 1066907199744 is 4479917096601.

The square root of 1066907199744 is 1032912.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 517363718400 + 549543481344 = 719280^2 + 741312^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is a super-2 number, since 2×1066907199744² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1338653554 + ... + 1338654350.

Almost surely, 2^{1066907199744} is an apocalyptic number.

1066907199744 is the 1032912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066907199744

1066907199744 is an abundant number, since it is smaller than the sum of its proper divisors (2131413637513).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1066907199744 is an frugal number, since it uses more digits than its factorization.

1066907199744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 1066907199744 in words is "one trillion, sixty-six billion, nine hundred seven million, one hundred ninety-nine thousand, seven hundred forty-four".